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Partial sums of floor(n/11).
7

%I #15 Jul 21 2015 09:50:45

%S 0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,5,6,7,8,9,10,11,13,15,17,19,21,23,25,

%T 27,29,31,33,36,39,42,45,48,51,54,57,60,63,66,70,74,78,82,86,90,94,98,

%U 102,106,110,115,120,125,130,135,140,145,150,155,160,165,171

%N Partial sums of floor(n/11).

%C Apart from the initial zeros, the same as A008729.

%F a(11n) = A051865(n).

%F a(11n+1) = A180223(n).

%F a(11n+4) = A022268(n).

%F a(11n+5) = A022269(n).

%F a(11n+6) = A254963(n)

%F a(11n+9) = A211013(n).

%F a(11n+10) = A152740(n).

%F G.f.: x^11/((1-x)^2*(1-x^11)).

%e As square array:

%e ..0....0....0....0....0....0....0....0....0....0....0

%e ..1....2....3....4....5....6....7....8....9...10...11

%e .13...15...17...19...21...23...25...27...29...31...33

%e .36...39...42...45...48...51...54...57...60...63...66

%e .70...74...78...82...86...90...94...98..102..106..110

%e 115..120..125..130..135..140..145..150..155..160..165

%e 171..177..183..189..195..201..207..213..219..225..231

%e 238..245..252..259..266..273..280..287..294..301..308

%e 316..324..332..340..348..356..364..372..380..388..396

%e 405..414..423..432..441..450..459..468..477..486..495

%e 505..515..525..535..545..555..565..575..585..595..605

%e ...

%Y Cf. similar sequences: A000217, A002820, A130518, A130519, A130520, A174709, A174738, A118729, A218470, A131242.

%K nonn,tabf,easy

%O 0,13

%A _Philippe Deléham_, Mar 27 2013